Professor of Mathematical Sciences
Research Interests: Analysis (partial differential equations, functional inequalities, stochastic processes), foundation of statistical mechanics, kinetic theory
Publications
Large time behavior of the a priori bounds for the solutions to the spatially homogeneous Boltzmann equations with soft potentials
– Asymptotic Analysis
(2007)
54,
235
Explicit coercivity estimates for the linearized Boltzmann and Landau operators
– Communications in Partial Differential Equations
(2006)
31,
1321
(doi: 10.1080/03605300600635004)
Solving the Boltzmann Equation in N log2N
– SIAM J. Sci. Comput.
(2006)
28,
1029
(doi: 10.1137/050625175)
Quantitative Lower Bounds for the Full Boltzmann Equation, Part I: Periodic Boundary Conditions
– COMMUN PART DIFF EQ
(2006)
30,
881
(doi: 10.1081/pde-200059299)
Quantitative Linearized Study of the Boltzmann Collision Operator and Applications
– Communications in Mathematical Sciences
(2006)
5,
73
(doi: 10.4310/cms.2007.v5.n5.a6)
Fast algorithms for computing the Boltzmann collision operator.
– Mathematics of Computation
(2006)
75,
1833
Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff
– Journal de Mathématiques Pures et Appliquées. Neuvième Série
(2006)
87,
515
(doi: 10.1016/j.matpur.2007.03.003)
Large time behavior of the a priori bounds for the solutions to the spatially homogeneous Boltzmann equations with soft potentials.
– Asymptot. Anal.
(2006)
54,
235
Cooling Process for Inelastic Boltzmann Equations for Hard Spheres, Part II: Self-Similar Solutions and Tail Behavior
– JOURNAL OF STATISTICAL PHYSICS
(2006)
124,
703
(doi: 10.1007/s10955-006-9097-8)
Cooling Process for Inelastic Boltzmann Equations for Hard Spheres, Part I: The Cauchy Problem
– JOURNAL OF STATISTICAL PHYSICS
(2006)
124,
655
(doi: 10.1007/s10955-006-9096-9)
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